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Finding the Fourth Proportional to 6,316.92, 9,483.62 and 4,246.20

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Solution

The fourth proportional to 6,316.92, 9,483.62 and 4,246.20 is: 6,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.92 : 9,483.62 = 4,246.20 : x
  2. Step 2: Convert to fraction form
    6,316.92/9,483.62 = 4,246.20/x
  3. Step 3: Cross multiply
    6,316.92x = 9,483.62 × 4,246.20
  4. Step 4: Simplify right side
    6,316.92x = 40,269,347.24
  5. Step 5: Solve for x
    x = 40,269,347.24/6,316.92
  6. Step 6: Final answer
    x = 6,374.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.